Pith Number

pith:BFKROB6I

pith:2018:BFKROB6I3DW4C3S7NAWXOJBTEJ

not attested not anchored not stored refs pending

Stability condition of a two-dimensional QBD process and its application to estimation of efficiency for two-queue models

Toshihisa Ozawa

arxiv:1808.06319 v1 · 2018-08-20 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFKROB6I3DW4C3S7NAWXOJBTEJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:07:45.354498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09551707c8d8edc16e5f682d77243322429198450b4692d5eee20c906f2e289b

Aliases

arxiv: 1808.06319 · arxiv_version: 1808.06319v1 · doi: 10.48550/arxiv.1808.06319 · pith_short_12: BFKROB6I3DW4 · pith_short_16: BFKROB6I3DW4C3S7 · pith_short_8: BFKROB6I

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BFKROB6I3DW4C3S7NAWXOJBTEJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09551707c8d8edc16e5f682d77243322429198450b4692d5eee20c906f2e289b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40dd892d49e2a6a5ba4103555612261e0260e350963e32076323c8de68ef9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-20T06:25:53Z",
    "title_canon_sha256": "23383332a82f2a9345830098c7608e4ab2f91f790e4bc8097d5155a9371810d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06319",
    "kind": "arxiv",
    "version": 1
  }
}